Coloured NOCs participated. The darker, the more participants. World map is not necessarily historically correct for the these Games.
| Country | Men | Women | Total | |
|---|---|---|---|---|
| Andorra | 2 | 0 | 2 | |
| Argentina | 13 | 5 | 18 | |
| Australia | 8 | 2 | 10 | |
| Austria | 58 | 7 | 65 | |
| Belgium | 2 | 2 | 4 | |
| Bolivia | 3 | 0 | 3 | |
| British Virgin Islands | 1 | 0 | 1 | |
| Bulgaria | 15 | 1 | 16 | |
| Canada | 47 | 20 | 67 | |
| Chile | 4 | 0 | 4 | |
| Chinese Taipei | 10 | 2 | 12 | |
| Costa Rica | 3 | 0 | 3 | |
| Cyprus | 4 | 1 | 5 | |
| Czechoslovakia | 38 | 12 | 50 | |
| Democratic People's Republic of Korea | 3 | 3 | 6 | |
| East Germany | 40 | 16 | 56 | |
| Egypt | 1 | 0 | 1 | |
| Finland | 40 | 5 | 45 | |
| France | 22 | 10 | 32 | |
| Great Britain | 37 | 13 | 50 | |
| Greece | 6 | 0 | 6 | |
| Hungary | 7 | 2 | 9 | |
| Iceland | 4 | 1 | 5 | |
| Italy | 59 | 15 | 74 | |
| Japan | 32 | 7 | 39 | |
| Lebanon | 4 | 0 | 4 | |
| Liechtenstein | 7 | 3 | 10 | |
| Mexico | 1 | 0 | 1 | |
| Monaco | 1 | 0 | 1 | |
| Mongolia | 4 | 0 | 4 | |
| Morocco | 4 | 0 | 4 | |
| Netherlands | 9 | 4 | 13 | |
| New Zealand | 4 | 2 | 6 | |
| Norway | 50 | 8 | 58 | |
| People's Republic of China | 21 | 16 | 37 | |
| Poland | 24 | 6 | 30 | |
| Puerto Rico | 1 | 0 | 1 | |
| Republic of Korea | 11 | 4 | 15 | |
| Romania | 16 | 3 | 19 | |
| San Marino | 3 | 0 | 3 | |
| Senegal | 1 | 0 | 1 | |
| Soviet Union | 74 | 25 | 99 | |
| Spain | 10 | 2 | 12 | |
| Sweden | 51 | 9 | 60 | |
| Switzerland | 29 | 13 | 42 | |
| Turkey | 7 | 0 | 7 | |
| United States | 77 | 30 | 107 | |
| West Germany | 69 | 15 | 84 | |
| Yugoslavia | 59 | 13 | 72 | |
| Total | 996 | 277 | 1273 |